Rhombicosidodecahedral prism

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Rhombicosidodecahedral prism

Schlegel diagram
One rhombicosidodecahedron and triangular prisms show
TypePrismatic uniform polychoron
Uniform index61
Schläfli symbolt0,2,3{3,5,2} or rr{3,5}×{}
Coxeter-Dynkin
Cells64 total:
2 rr{5,3}
12 {}x{5}
20 {}x{3}
30 {4,3}
Faces244 total:40 {3}
180 {4}
24 {5}
Edges300
Vertices120
Vertex figure
Trapezoidal pyramid
Symmetry group[5,3,2], order 240
Propertiesconvex

In geometry, a rhombicosidodecahedral prism is a convex uniform polychoron (four dimensional polytope).

It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.

Alternative names

  • (small) rhombicosidodecahedral dyadic prism (Norman W. Johnson)
  • Sriddip (Jonathan Bowers: for small-rhombicosidodecahedral prism)
  • (small) rhombicosidodecahedral hyperprism

External links

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